Stationary water waves on rotational flows of two vortical layers
Stationary water waves on rotational flows of two vortical layers
复制标题
两个涡流层旋转流上的静止水波
DOI：
10.1007/s13160-020-00431-1
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发表时间：
2020
影响因子：
0.9
通讯作者：
Okamoto Hisashi
中科院分区：
文献类型：
--
作者：
Shoji Mayumi;Okamoto Hisashi
对两层旋转流上的恒定形状和恒定传播速度的驻波进行了数值计算。假设两层具有不同的恒定涡度分布。考虑三种不同类型的有限深度波：纯毛细管波、毛细管重力波和重力波。该问题被表述为分岔问题，涉及许多参数并产生复杂的解结构。我们采用了可以计算具有驻点的波的数值方法，并获得了多种新的解。另据报道，驻点的位置随着规定的参数而发生奇怪的变化，并且它们提出了一个有趣的问题。
Stationary waves of constant shape and constant propagation speed on rotational flows of two layers are computed numerically. Two layers are assumed to be of distinct constant vorticity distributions. Three different kinds of waves of finite depth are considered: pure capillary, capillary-gravity, and gravity waves. The problem is formulated as a bifurcation problem, which involves many parameters and produces a complicated structure of solutions. We adopted a numerical method by which waves with stagnation points can be computed, and obtained variety of new solutions. It is also reported that the locations of the stagnation points vary curiously with the prescribed parameters and that they offer an interesting problem.